9,724,498

2 × 7 × 59 × 61 × 193

9,724,498 factors as 2 × 7 × 59 × 61 × 193. Its 32 positive divisors give a proper-divisor sum of 7,595,822, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 7 × 59 × 61 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,320,320

Proper Divisor Sum 7,595,822

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9724489 ← → #9724531

Radix Representation

Decimal	9724498
Binary	100101000110001001010010 (24 bits)
Octal	0o45061122
Hexadecimal	0x946252

Divisor Catalog (32)

1 2 7 14 59 61 118 122 193 386 413 427 826 854 1,351 2,702 3,599 7,198 11,387 11,773 22,774 23,546 25,193 50,386 79,709 82,411 159,418 164,822 694,607 1,389,214 4,862,249 9,724,498

Collatz Trajectory (114 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,724,498 4,862,249 14,586,748 7,293,374 3,646,687 10,940,062 5,470,031 16,410,094 8,205,047 24,615,142 12,307,571 36,922,714 18,461,357 55,384,072 27,692,036 13,846,018 6,923,009 20,769,028 10,384,514 5,192,257 15,576,772 7,788,386 3,894,193 11,682,580 5,841,290 2,920,645 8,761,936 4,380,968 2,190,484 1,095,242 547,621 1,642,864 821,432 410,716 205,358 102,679 308,038 154,019 462,058 231,029 693,088 346,544 173,272 86,636 43,318 21,659 64,978 32,489 97,468 48,734 24,367 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681

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